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Fourier pseudospectral solution of the regularised long wave equation. (English) Zbl 0732.65096

An algorithm for the Fourier pseudospectral solution of the regularized long wave (RLW) equation is considered. The semi-discrete equations satisfy the energy conservation condition of the RLW equation. Numerical results and comments on the stability are given.

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
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